Question

Which inequality does this graph represent?

a. y ≥ -1/2x - 1

b. y ≥ 1/2x - 1

c. y ≤ -1/2x - 1

d. y ≥ -1/2x - 2

Answer 1

Based on the graph, the slope of the line is -1/2 because the slope is negative, as it is going down 1 unit and then 2 units to the left.

The y-intercept(b), where x = 0, is -1

So your equation is:

y ? -1/2x - 1

The shaded area is above the line, which means that y is greater than "-1/2x - 1"

The inequality is:

y ≥ -1/2x - 1

The answer is A